Which interval is the solution set to 0.35x - 4.8 < 5.2 - 0.9x?
(-∞, -8); (-∞, 8); (-8, ∞); (8, ∞)

Solution:

Given Inequality is:

0.35x - 4.8 < 5.2 - 0.9x

Grouping the terms of x coefficients and constants

⇒ 0.35x + 0.9x < 5.2 + 4.8

Adding the terms of LHS and RHS

⇒ 1.25x < 10

⇒ x < 10 / 1.25

But 10 / 1.25 = 8

x < 8

Therefore, the interval in which the solution set to 0.35x - 4.8 < 5.2 - 0.9x lies is (-∞, 8)

Which interval is the solution set to 0.35x - 4.8 < 5.2 - 0.9x? (-∞, -8); (-∞, 8); (-8, ∞); (8, ∞)

Summary:

The interval in which the solution set to 0.35x - 4.8 < 5.2 - 0.9x lies is (-∞, 8).